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Highly Cited

2011

Highly Cited

2011

The general concept of nonlinear self-adjointness of differential equations is introduced. It includes the linear self… Expand

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Highly Cited

2008

Highly Cited

2008

The regularized long-wave or BBM equation
$
u_{t}+u_{x}+u u_{x}-u_{x x t} = 0
$
was derived as a model for the… Expand

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Highly Cited

2006

Highly Cited

2006

This paper is concerned with the stability of periodic trave- lling-wave solutions of the Korteweg-de Vries equation ut + uux… Expand

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2006

2006

We consider the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation (ut — uux — βuxx)x— γΔy u = 0 in Sobolev spaces of functions… Expand

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2005

2005

In this paper we answer an open question raised by Pour-El and Richards: Is the solution operator of the Korteweg-de Vries (KdV… Expand

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Highly Cited

2004

Highly Cited

2004

In this paper, we establish exact solutions for nonlinear wave equations. A sine-cosine method is used for obtaining traveling… Expand

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1998

1998

AbstractIn this paper, we present several systematicways to find exact traveling-wave solutions of thesystems
$$\eta _t + u_x… Expand

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1996

1996

The Concurrency Factory supports the specification, simulation, verification, and implementation of real-time concurrent systems… Expand

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Highly Cited

1990

Highly Cited

1990

In this article various extensions of an old result of Fujita are considered for the initial value problem for the reaction… Expand

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Highly Cited

1987

Highly Cited

1987

We consider a space-time finite element discretization of a time-dependent nonlinear hyperbolic conservation law in one space… Expand

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